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New filled function method with one-parameter for global optimization and nonlinear equations
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DOI：10.1080/02331934.2026.2674299.png)
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Abstract
En 中文
The filled function method is an effective approach to find the global optimal solution of global optimization problems by using the local search algorithm. The characteristics of the filled function significantly contribute to the efficiency of this kind of method. In this paper, we propose a novel filled function with one-parameter, which overcomes the deficiencies of some previous filled functions such as discontinuity and nondifferentiability, only containing local information of objective function and difficulty for the choice of the parameter. Then, a new filled function method for unconstrained global optimization is designed based on the properties of the introduced filled function. Furthermore, numerical experiments on a number of test problems are conducted to illustrate the efficiency and reliability of our algorithm. Finally, we extend the proposed algorithm to solve systems of nonlinear equations and satisfactory numerical performance are demonstrated.
Keywords:
Global optimization
nonconvex optimization
filled function method
System of nonlinear equation
Journal
O
IF:
1.8
Papers:
124
Citations:
0
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